Results 191 to 200 of about 2,433 (265)

On the moments of exponential sums over r$r$‐free polynomials

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.
Abstract Let Fq[t]${\mathbb {F}}_q[t]$ denote the ring of polynomials over the finite field Fq${\mathbb {F}}_q$. Building off of techniques of Balog and Ruzsa and of Keil in the integer setting, we determine the precise order of magnitude of k$k$th moments of exponential sums over r$r$‐free polynomials in Fq[t]${\mathbb {F}}_q[t]$ for all k>0$k>0$.
Ben Doyle
wiley   +1 more source

A Virtual Heat Flux Method for Simple and Accurate Neumann Thermal Boundary Imposition in the Material Point Method

open access: yesInternational Journal for Numerical Methods in Engineering, Volume 127, Issue 12, 30 June 2026.
ABSTRACT In the material point method (MPM), accurate enforcement of thermal boundary conditions, particularly convective heat flux boundaries, is crucial for the reliable simulation of thermally coupled multiphysics processes, such as natural heat‐convection phenomena on Earth.
Jidu Yu, Jidong Zhao
wiley   +1 more source

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